Question
Expand the expression
−3log10(2)−log10(x)+11
Evaluate
−log10(8x(10−11))
Calculate
−log10(8x×10−11)
Multiply the numbers
−log10(8×10−11x)
Rewrite the expression
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Evaluate
8×10−11x
Rewrite the expression
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Evaluate
8×10−11
Express with a positive exponent using a−n=an1
8×10111
Rewrite the expression
10118
10118×x
Rewrite the expression
10118x
−log10(10118x)
Use loga(yx)=loga(x)−loga(y) to transform the expression
−(log10(8x)−log10(1011))
Simplify the expression
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Evaluate
log10(8x)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log10(8)+log10(x)
Simplify the expression
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Evaluate
log10(8)
Write the number in exponential form with the base of 2
log10(23)
Use logabn=nlogab to simplify the expression
3log10(2)
3log10(2)+log10(x)
−(3log10(2)+log10(x)−log10(1011))
Use logaan=n to simplify the expression
−(3log10(2)+log10(x)−11)
Solution
−3log10(2)−log10(x)+11
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